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SIDDHARTH IYER, Rational approximation with digit-restricted denominators, The Quarterly Journal of Mathematics, 2025;, haaf007, https://doi.org/10.1093/qmath/haaf007
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ABSTRACT
We show the existence of ‘good’ approximations to a real number γ using rationals with denominators formed by digits 0 and 1 in base b. We derive an elementary estimate and enhance this result by managing exponential sums.
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